Pith Number

pith:UHFDU56X

pith:2012:UHFDU56X5PWSOU7T7OEQ7UANYH

not attested not anchored not stored refs pending

Various Covering Spectra for Complete Metric Spaces

Christina Sormani, Guofang Wei

arxiv:1211.7123 v2 · 2012-11-30 · math.DG · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHFDU56X5PWSOU7T7OEQ7UANYH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:53:04.935249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1ca3a77d7ebed2753f3fb890fd00dc1f6dc75c44b5048772463b69981967d95

Aliases

arxiv: 1211.7123 · arxiv_version: 1211.7123v2 · doi: 10.48550/arxiv.1211.7123 · pith_short_12: UHFDU56X5PWS · pith_short_16: UHFDU56X5PWSOU7T · pith_short_8: UHFDU56X

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UHFDU56X5PWSOU7T7OEQ7UANYH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a1ca3a77d7ebed2753f3fb890fd00dc1f6dc75c44b5048772463b69981967d95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e22042277e28f8cb581c9faa56a30d231e009ce7d769545c280d946f7d9df9ec",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-30T00:05:35Z",
    "title_canon_sha256": "a5cada4c26327c6837f169a8c88eaf8dbc7a39c5c8bcb829d7980a8377509ee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7123",
    "kind": "arxiv",
    "version": 2
  }
}